The imaginary unit i, and its powers

Answer Key - Grade 11 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Milo's two robots turn about 0 from 1, one 14 quarter turns and one 23. What is i¹⁴ + i²³ in a + bi form?

   -1 − i
2. 2.

   Noah adds powers of i on a math club card. What is 3i²¹ − i³⁰ in a + bi form?

   1 + 3i
3. 3.

   Pia simplifies i⁴⁷ + 2i⁵⁰ for the class board. What is i⁴⁷ + 2i⁵⁰ in a + bi form?

   -2 − i
4. 4.

   Ren marks i¹² and i³¹ on a grid map, then adds them. What is i¹² + i³¹ in a + bi form?

   1 − i
5. 5.

   Tala multiplies two puzzle cards: √(-4) × √(-25). What is √(-4) × √(-25)?

   -10
6. 6.

   Zee works out √(-9) × √(-16) on the board for the class. What is √(-9) × √(-16)?

   -12
7. 7.

   Esme colors in the steps for 3√(-4) × √(-49). What is 3√(-4) × √(-49)?

   -42
8. 8.

   Jun's robot reads the card √(-1) × √(-64). What is √(-1) × √(-64)?

   -8
9. 9.

   Milo raises -2i to the fifth power for a math club puzzle. What is (-2i)⁵?

   -32i
10. 10.

    Noah raises -3i to the fourth power on a grid map. What is (-3i)⁴?

    81